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8. Differentiate implicitly to find the first partial derivatives and of z from the equation z=.

其他申論題

4. Find the area of the surface formed by revolving the graph of f(x)=x2 on the interval about the y-axis.

5. Find the interval of convergence of .

9. Find the volume of the solid generated by revolving the region bounded by y=4x-x2 and y = 0 about the line x = 5.

10. Find a power series for the function f(x)=, centered at c=3, and determine the interval of convergence.

2. Find the slope of the tangent line to the graph x3+y3-6xy=0 at point ().

4. Evaluate the iterated integral . (Note that it is necessary to switch the order of integration.).

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